Problem on bisection method in MATLAB
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Write a program in MATLAB which will give as output all the real solutions of the equation sin(x)=x/10. The solutions should be accurate up to the second decimal place and should be obtained using the bisection method. Note that the program should be written efficiently i.e, a loop should be introduced so that the bisection method is applied repeatedly to obtain all the solutions (starting values should not be entered manually for each root). The program should display all the solutions as output.
Answers (2)
Ameer Hamza
on 20 Oct 2020
Study the code in the following FEX packages, and then you can write your own code for the homework
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John D'Errico
on 21 Oct 2020
If you understand it, then you need to make an effort. surely you can find pseudo-code for a bisection method? If so, then look how the loop is structured. Now think about how loops work in MATLAB. The mode effort you make, the more likely you will get help. Show the code you are writing. look at it. Think about how it must work. Look at the code you wrote, and ask why it did not work.
Andy
on 22 Oct 2020
Valid starting points for a and b are the turning points of the function sin(x)-(x/10)=0. Determine the turning points then use tp(1) and tp(2) as the first a and b, then tp(2) tp(3)
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Andy
on 22 Oct 2020
tp(1) is the first turning point, tp(2) is the second and so on.
You can write code to determine the turning points by differentiating the function and finding the peaks. There is a findpeaks function on file exchange.
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